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[ 1/1Inequality]
Assignment:Find the solution set of inequality -x^2+x+2 <= x/x^2+1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
-x ^ 2 + x + 2 <= x / x ^ 2 + 1 (1)
From the definition field of divisor
x ≠ 0 (2 )
From inequality(1):
x ≤ -1 或 -0.000001 ≤ x ≤ 1 或 1 ≤ x ≤ 1 或 x ≥ 1
From inequality(2):
x < 0 或 x > 0
From inequalities (1) and (2)
x ≤ -1 或 -0.000001 ≤ x < 0 或 0 < x ≤ 1 或 1 ≤ x ≤ 1 或 x ≥ 1 (3)
The final solution set is :
x ≤ -1 或 -0.000001 ≤ x < 0 或 0 < x ≤ 1 或 1 ≤ x ≤ 1 或 x ≥ 1Your problem has not been solved here? Please take a look at the hot problems !